Base change functors in the -stable homotopy category.
Basic constructions in rational homotopy theory of function spaces
Via the Bousfield-Gugenheim realization functor, and starting from the Brown-Szczarba model of a function space, we give a functorial framework to describe basic objects and maps concerning the rational homotopy type of function spaces and its path components.
Batalin-Vilkovisky algebra structures on Hochschild cohomology
Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic cohomology ...
Belts and k-invariants of link maps in spheres.
Bemerkungen zur Borel-Moore-Homologie.
Berechnung der Homologiegruppen singularitätenfreier algebraischer Hyperflächen und Konstruktion von Repräsentanten ihrer Erzeugenden
Betti numbers of Buchsbaum complexes.
Betti numbers of regions of attraction
BGG resolutions via configuration spaces
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts.
Bihomogeneity of solenoids.
Bimorphisms in pro-homotopy and proper homotopy
A morphism of a category which is simultaneously an epimorphism and a monomorphism is called a bimorphism. The category is balanced if every bimorphism is an isomorphism. In the paper properties of bimorphisms of several categories are discussed (pro-homotopy, shape, proper homotopy) and the question of those categories being balanced is raised. Our most interesting result is that a bimorphism f:X → Y of is an isomorphism if Y is movable. Recall that is the full subcategory of consisting of...
Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem
It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms ϕ and ψ is equal to the number of coincidence points of ϕ̂ and ψ̂ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally, we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.
Bivariant cohomology and -spaces
Boardman's Category and the Process of Categorical Stabilization.
Bockstein Operations in Morava K-Theories.
Boolean algebras in algebraic topology.
Boolean localization, in practice.
Bordism and Geometric Dimension.
Bordism with codimension-one singularities